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kozerog [31]
4 years ago
13

Someone please break down 9(3x – 16) + 15 = 6x – 24 into simplest form and show work

Mathematics
1 answer:
Sphinxa [80]4 years ago
5 0
<span>9(3x−16)+15=6x−24

</span> <span>9(3x)−9(16)+15=6x−<span>24

</span></span>27x−144+15=6x−<span>24
</span>
<span><span>21</span>x=<span>105

21x/21=0

105/21=5

x=5</span></span>
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The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116.
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Answer:

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Step-by-step explanation:

The difficulty with word problems is translating them into math.

Let's do that

---------------------

The sum of a number and two times a smaller number is 62.

let's call the bigger number b, and the smaller number s

b + 2s = 62

Three times the bigger number exceeds the smaller number by 116

3b = s + 116

-----------------------

Now manipulate one of the equations to isolate the variable

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substitute for s = 3b - 116 in

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divide both sides by 2

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